Outline Course of Pure Mathematics

Outline Course of Pure Mathematics PDF

Author: A. F. Horadam

Publisher: Elsevier

Published: 2014-05-16

Total Pages: 595

ISBN-13: 1483147908

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Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.

Cambridge International AS and A Level Mathematics: Pure Mathematics 1 Coursebook

Cambridge International AS and A Level Mathematics: Pure Mathematics 1 Coursebook PDF

Author: Sue Pemberton

Publisher: Cambridge University Press

Published: 2018-03-15

Total Pages: 337

ISBN-13: 1108407145

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This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 1 matches the corresponding unit of the syllabus, with a clear and logical progression through. It contains materials on topics such as quadratics, functions, coordinate geometry, circular measure, series, differentiation and integration. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

A Course in Pure Mathematics

A Course in Pure Mathematics PDF

Author: Margaret Gow

Publisher: Elsevier

Published: 1960

Total Pages: 636

ISBN-13: 9780340052174

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For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology. The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

Cambridge International AS and A Level Mathematics: Pure Mathematics 2 & 3 Coursebook

Cambridge International AS and A Level Mathematics: Pure Mathematics 2 & 3 Coursebook PDF

Author: Sue Pemberton

Publisher: Cambridge University Press

Published: 2018-03-15

Total Pages: 369

ISBN-13: 1108407196

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This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 2 & 3 matches the corresponding units of the syllabus. It clearly indicates materials required for P3 study only, and contains materials on topics such as logarithmic and exponential functions, trigonometry, differentiation, integration, numerical solutions of equations, vectors and complex numbers. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition) PDF

Author: Lynn Harold Loomis

Publisher: World Scientific Publishing Company

Published: 2014-02-26

Total Pages: 595

ISBN-13: 9814583952

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An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

A Course of Pure Mathematics

A Course of Pure Mathematics PDF

Author: G. H. Hardy

Publisher: Prabhat Prakashan

Published: 1943-01-01

Total Pages: 578

ISBN-13:

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A Course of Pure Mathematics by G. H. Hardy: Dive into the world of mathematical analysis with "A Course of Pure Mathematics" by G. H. Hardy. This classic textbook serves as an introductory guide to the principles and concepts of mathematical analysis, offering a rigorous and comprehensive exploration of the subject. With its clear explanations, illustrative examples, and problem-solving techniques, Hardy's book provides a solid foundation for understanding the fundamental principles of mathematics. Key Aspects of the Book "A Course of Pure Mathematics": Comprehensive Coverage: Delve into the various branches of mathematical analysis, including calculus, functions, series, complex numbers, and more. Hardy's comprehensive approach ensures that readers gain a broad understanding of the subject. Rigorous Approach: Experience the rigor and precision of mathematical analysis through Hardy's clear and concise explanations. His logical and systematic approach helps readers develop a strong grasp of mathematical principles. Problem-Solving Techniques: Engage in problem-solving exercises that enhance your mathematical skills and reinforce your understanding of the concepts. Hardy's emphasis on problem-solving cultivates critical thinking and analytical abilities. H. Hardy, a renowned British mathematician, authored "A Course of Pure Mathematics" as a seminal work in the field. Recognized for his contributions to number theory and mathematical analysis, Hardy's book continues to be highly regarded as a foundational text for students and enthusiasts of mathematics. Through his passion for the subject and his commitment to clarity and rigor, Hardy inspires readers to explore the beauty and elegance of mathematical reasoning.

Course of Pure Mathematics

Course of Pure Mathematics PDF

Author: G. H. Hardy

Publisher: Courier Dover Publications

Published: 2018-07-18

Total Pages: 465

ISBN-13: 0486822354

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This classic calculus text remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, more. 1921 edition.

Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics

Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics PDF

Author: Juliet Floyd

Publisher: Springer Nature

Published: 2020-08-31

Total Pages: 330

ISBN-13: 3030484815

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This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.H. Hardy’s classic textbook, A Course of Pure Mathematics. Complete with actual images of the annotations, it gives readers a more complete picture of Wittgenstein’s remarks on irrational numbers, which have only been published in an excerpted form and, as a result, have often been unjustly criticized. The authors first establish the context behind the annotations and discuss the historical role of Hardy’s textbook. They then go on to outline Wittgenstein’s non-extensionalist point of view on real numbers, assessing his manuscripts and published remarks and discussing attitudes in play in the philosophy of mathematics since Dedekind. Next, coverage focuses on the annotations themselves. The discussion encompasses irrational numbers, the law of excluded middle in mathematics and the notion of an “improper picture," the continuum of real numbers, and Wittgenstein’s attitude toward functions and limits.

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